We calculate the equilibrium structure of spherical multishell fullere
nes and the low-frequency rattling modes of the nested shells. The pai
rwise nature of the intershell interactions allows us to topologically
map these zero-dimensional systems onto a linear chain of fullerene s
hells. Even though the masses of the individual shells and the intersh
ell interactions depend strongly on the shell number, the vibrational
density of states of very targe structures resembles closely that of a
n infinite linear chain with site-independent masses and force constan
ts and a very low Debye frequency of 80.2 cm(-1).